svd_snowfall, an Octave code which demonstrates the use of the Singular Value Decomposition (SVD) to analyze a set of historical snowfall data.
The snowfall data consists of records for the winters of 1890-1891 to the recent present, of the snowfall in inches, over the months from October to May, as measured at Michigan Tech.
This data can be regarded as an 8 by 127 matrix A. Applying the singular value decomposition produces the factors
A = U * S * V'and it is the purpose of this library to consider what these factors indicate about the snowfall data.
The computer code and data files described and made available on this web page are distributed under the MIT license
svd_snowfall is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.
fingerprints, a dataset directory which contains a few images of fingerprints.
svd_basis, an Octave code which computes a reduced basis for a collection of data vectors using the singular value decomposition (SVD)
svd_circle, an Octave code which analyzes a linear map of the unit circle caused by an arbitrary 2x2 matrix A, using the singular value decomposition (SVD).
svd_faces, an Octave code which applies singular value decomposition (SVD) analysis to a set of images.
svd_fingerprint, an Octave code which reads a file containing a fingerprint image and uses the singular value decomposition (SVD) to compute and display a series of low rank approximations to the image.
svd_gray, an Octave code which reads a gray scale image, computes the singular value decomposition (SVD), and constructs a series of low rank approximations to the image.
svd_lls, an Octave code which uses the singular value decomposition (SVD) to construct and plot the best affine and linear relationships in the sense of least square, between two vectors of data.
svd_powers, an Octave code which applies singular value decomposition (SVD) analysis to powers x(i)^(j-1).
svd_sphere, an Octave code which analyzes a linear map of the unit sphere caused by an arbitrary 3x3 matrix A, using the singular value decomposition (SVD).
svd_test, an Octave code which demonstrates the singular value decomposition (SVD) for a simple example.
svd_truncated_test, an Octave code which demonstrates the computation of the reduced or truncated Singular Value Decomposition (SVD) that is useful for cases when one dimension of the matrix is much smaller than the other.
time_series, a dataset directory which contains examples of files describing time series.